72786760121 has 16 divisors (see below), whose sum is σ = 75402445440. Its totient is φ = 70207482240.

The previous prime is 72786760103. The next prime is 72786760133. The reversal of 72786760121 is 12106768727.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-72786760121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72786720121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2326301 + ... + 2357381.

It is an arithmetic number, because the mean of its divisors is an integer number (4712652840).

Almost surely, 2^72786760121 is an apocalyptic number.

It is an amenable number.

72786760121 is a deficient number, since it is larger than the sum of its proper divisors (2615685319).

72786760121 is a wasteful number, since it uses less digits than its factorization.

72786760121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31664.

The product of its (nonzero) digits is 395136, while the sum is 47.

The spelling of 72786760121 in words is "seventy-two billion, seven hundred eighty-six million, seven hundred sixty thousand, one hundred twenty-one".